Results 21 to 30 of about 749 (184)
Estimates for the errors in the Rayleigh-Ritz method [PDF]
Pacific Journal of Mathematics, 1953 with homogeneous linear boundary conditions, denoted by (C). It is assumed that the parameter λ does not appear in the boundary conditions. The region R of the problem may be of any number of dimensions; the symbol ff(P)dP will mean an integral over /?, dP standing for the Euclidean volume element; (/, g) will stand for ff(P)g{P)dP; and ||/||, for (f ...
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Quadratic Interpolation and Rayleigh–Ritz Methods for Bifurcation Coefficients [PDF]
SIAM Journal on Mathematical Analysis, 2010 In this article we study the estimation of bifurcation coefficients in nonlinear branching problems by means of Rayleigh-Ritz approximation to the eigenvectors of the corresponding linearized problem. It is essential that the approximations converge in a norm of sufficient strength to render the nonlinearities continuous.
W. M. Greenlee, Lotfi Hermi
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THE APPROXIMATE SOLUTION FOR PLATES USING MODIFIED RAYLEIGH-RITZ METHOD
International Journal for Computational Civil and Structural Engineering, 2017 For thin elastic plates of arbitrary shape with a smooth pinched or hinged contour based on the modified Rayleigh-Ritz method, explicit expressions are obtained for the approximate values of the maximum deflection from a uniformly distributed load, the ...
Gaik A. Manuylov
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On the plastic buckling of curved carbon nanotubes
Theoretical and Applied Mechanics Letters, 2020 This research, for the first time, predicts theoretically static stability response of a curved carbon nanotube (CCNT) under an elastoplastic behavior with several boundary conditions. The CCNT is exposed to axial compressive loads.
Mohammad Malikan
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Results in Physics, 2018 This paper establishes a thin orthotropic rectangular fluid–structure coupled system which effectively studies the sound-vibration behaviors. The established coupled system is made up of an acoustic enclosure filled with air or water and a single ...
Hong Zhang +3 more
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Advances in Mechanical Engineering, 2019 In this article, the free vibration of a functionally graded carbon nanotube–reinforced plate with central hole is investigated by means of the independent coordinates-based Rayleigh–Ritz method.
Yan Guo, Yanan Jiang, Bin Huang
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Vibration analysis of nanorods by the Rayleigh-Ritz method and truncated Fourier series
Results in Physics, 2019 A solution procedure applicable for analyzing the free longitudinal vibration of nanorods is presented in this study. The longitudinal displacement of the nanorod is sought as a linear combination of a Fourier series and auxiliary trigonometric functions.
Siyuan Bao, Jinrui Cao, Shuodao Wang
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Free vibration of arbitrary-shaped laminated triangular thin plates with elastic boundary conditions
Results in Physics, 2018 This paper studies the free vibration of arbitrary shaped laminated triangular thin plates based on a modified Fourier series method. An arbitrary shaped triangular plate is mapped into a right-angled isosceles triangular plate with unit length by the ...
Xiuhai Lv, Dongyan Shi
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Approximation of eigenvalues of some unbounded self-adjoint discrete Jacobi matrices by eigenvalues of finite submatrices [PDF]
Opuscula Mathematica, 2007 We investigate the problem of approximation of eigenvalues of some self-adjoint operator in the Hilbert space \(l^2(\mathbb{N})\) by eigenvalues of suitably chosen principal finite submatrices of an infinite Jacobi matrix that defines the operator ...
Maria Malejki
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Results in Physics, 2018 This paper studies the free vibration characteristics of arbitrary straight-sided quadrilateral plates using a simple first-order shear deformation theory (SFSDT), which contains only four unknown displacement components.
Dongyan Shi +3 more
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